Our Geom-e-Trees Poster

A 20"x32" Geom-e-Trees poster was released at the Gathering for Gardner in Atlanta on March 30, 2012. Sixty posters were given away to G4G attendees.

A 24"x36" Geom-e-Trees poster is now in our
Geom-e-Tree
Cafe Press store. There are two smaller posters and a few other items as well. These deluxe posters are printed on photographic paper. Eventually we would like to have the poster printed on an offset press or silkscreened to get a flat black and white surface.

Jump to the end if you are looking for the download-able 11x17 PDF.(The 11x17 has way fewer lines than the bigger posters.)

About the Poster

The Geom-e-Trees in each column have the indicated number of degrees between their branches throughout the tree.

The Geom-e-Trees in each row have the indicated number of branches at each node throughout the tree.

The length of the branches in each geom-e-tree follow a Geometric Progression as the tree branches out. That is, a common ratio exists between one level and the next throughout the tree. Geom-e-Trees are arranged in three groups:

Self-Touching Trees - These Geom-e-Trees have just the right common ratio so branches can be as long as possible without overlapping.

Unit Distance Trees - These Geom-e-Trees have a common ratio of one. All the branches throughout each tree are the same length, including the trunk of the tree.

Doubling Trees - These Geom-e-Trees have a common ratio of two (or one half, depending on how you apply the ratio). Branches double in length as the tree branches out. While this is unnatural for biologic trees, it is a valid geometric form.

These are just a few of the Geom-e-Trees you can discover with Geom-e-Tree on your iPad or iPhone!

The above is only a facsimile of the poster (max 400 branches), but it's kinda cool anyway.